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**About this book :- **
** Calculus (5E) ** written by
** James Stewart **.

Stewart's CALCULUS: offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. The Multivariable Calculus edition contains chapters of the full text, and is intended to serve as a single-semester text.

**Book Detail :- **
** Title: ** Multivariable Calculus
** Edition: ** 5th
** Author(s): ** James Stewart, Clegg
** Publisher: ** Thomson Brooks/Cole
** Series: **
** Year: **
** Pages: ** 666
** Type: ** PDF
** Language: ** English
** ISBN: ** 053439339X,9780534393397
** Country: ** Canada
** Get this book from Amazon**

**About Author :- **
**James Drewry Stewart** was a Canadian mathematician, violinist, and professor emeritus of mathematics at
**McMaster University**.

He received his M. S. (master of science) at Stanford University and his Ph.D. (doctor of philosophy) from the University of Toronto.

He worked as a postdoctoral fellow at the University of London, where his research focused on harmonic and functional analysis. Stewart was most recently Professor of Mathematics at McMaster University, and his research field was harmonic analysis. Stewart was the author of a best calculus textbook series published by Cengage Learning, including Calculus, Calculus: Early Transcendentals and Calculus: Concepts and Contexts, as well as a series of precalculus texts.

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**Book Contents :- **
**Multivariable Calculus (5E) ** written by
** James Stewart **
cover the following topics.
**PARAMETRIC Equations and Polar Coordinates.**

Curves Defined by Parametric Equations. Laboratory Project: Families of Hypocycloids. Calculus with Parametric Curves. Laboratory Project: Bezier Curves. Polar Coordinates. Areas and Lengths in Polar Coordinates. Conic Sections. Conic Sections in Polar Coordinats.
**11. INFINITE SEQUENCES AND SERIES. **

Sequences. Laboratory Project: Logistic Sequences. Series. The Integral Test and Estimates of Sums. The Comparison Tests. Alternating Series. Absolute Convergence and the Ratio and Root Tests. Strategy for Testing Series. Power Series. Representation of Functions as Power Series. Taylor and Maclaurin Series. Writing Project: How Newton Discovered the Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars.
**12. VECTORS AND THE GEOMETRY OF SPACE. **

Three-Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Discovery Project: The Geometry of a Tetrahedron. Equations of Lines and Planes. Cylinders and Quadric Surfaces.
**13. VECTOR FUNCTIONS. **

Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Arc Length and Curvature. Motion in Space: Velocity and Acceleration. Applied Project: Kepler's Laws.
**14. PARTIAL DERIVATIVES. **

Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximations. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Applied Project: Designing a Dumpster. Discovery Project: Quadratic Approximations and Critical Points. Lagrange Multipliers. Applied Project: Rocket Science. Applied Project: Hydro-Turbine Optimization.
**15. MULTIPLE INTEGRALS.**

Double Integrals over Rectangles. Iterated Integrals. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Triple Integrals. Discovery Project: Volumes of Hyperspheres. Triple Integrals in Cylindrical. Discovery Project: The Intersection of Three Cylinders. Triple Integrals in Spherical Coordinates. Applied Project: Roller Derby. Change of Variables in Multiple Integrals. 17. VECTOR CALCULUS. Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green's Theorem. Curl and Divergence. Parametric Surfaces and Their Areas. Surface Integrals. Stokes' Theorem. Writing Project: Three Men and Two Theorems. The Divergence Theorem. Summary.
**16. SECOND-ORDER DIFFERENTIAL EQUATIONS. **

Second-Order Linear Equations. Nonhomogeneous Linear Equations. Applications of Second-Order Differential Equations. Series Solutions.
**Appendixes.**

A: Intervals, Inequalities, and Absolute Values. B: Coordinate Geometry and Lines. C: Graphs of Second-Degree Equations. D: Trigonometry. E: Sigma Notation. F: Proofs of Theorems. G. Complex Numbers. H: Answers to Odd-Numbered Exercises.

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